Use the binomial theorem to expand the expression.(x + 3y)3

A. x3 + 3x2y + 6xy + 9xy2 + 18y2 + 27y3
B. x3 + 9x2y + 27xy2 + 27y3
C. x3 + 27y3
D. 3x + 9y


Answer: B

Mathematics

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Provide an appropriate response.A large number of students take a quiz with possible grades ranging from 0 to 10, inclusive, and all possible grades are obtained. Is the median necessarily 5?

A. No B. Yes

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Use synthetic division to find the quotient and the remainder when the first polynomial is divided by the second polynomial. 3x5 + 4x4 + 2x2 - 1; x + 2

A. quotient: 3x4 - 2x3 + 4x2 + 6; remainder: -13 B. quotient: 3x4 - 2x3 + 6x2 - 12; remainder: 23 C. quotient: 3x4 - 2x3 + 4x2 - 6x + 12; remainder: -25 D. quotient: 3x4 + 2x3 + 4x2 + 8x; remainder: -15

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Solve , if possible. Write the answer in set notation.

A.
B.
C.
D.
E. no solution

Mathematics